Question

# Find the distance between the points $\left( {0,0} \right)$ and $\left( {36,15} \right)$.

Hint:- Use distance formula.
As, we are given the points $\left( {0,0} \right)$ and $\left( {36,15} \right)$. And had to find the distance between them.
And we know that if are given with two points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$
And had to find distance between them. Then we use distance formula
And according to distance formula, distance between them will be,
$\Rightarrow \sqrt {{{\left( {{x_1} - {x_2}} \right)}^2} + {{\left( {{y_1} - {y_2}} \right)}^2}}$
So, applying distance formula for the given points. We will get,
$\Rightarrow$Distance $= \sqrt {{{\left( {0 - 36} \right)}^2} + {{\left( {0 - 15} \right)}^2}}$
Solving above equation. We get,
$\Rightarrow$Distance $= \sqrt {1296 + 225}$
$\Rightarrow$Distance $= 39$
Hence, the distance between the given two points $\left( {0,0} \right)$ and $\left( {36,15} \right)$ will be 39 units.

Note:- Whenever we are given two points and asked to find distance between them.
Then we apply distance formula, stated as if $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ are the two points,
then distance between them will be $\sqrt {{{\left( {{x_1} - {x_2}} \right)}^2} + {{\left( {{y_1} - {y_2}} \right)}^2}}$.